What is factor 4x^3-8x^2-25x+50 ?

The solution to factor 4x^3-8x^2-25x+50 is (x-2)(2x+5)(2x-5)

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factor 4x^3-8x^2-25x+50

factor

4 x^{3} - 8 x^{2} - 25 x + 50

(x - 2) (2 x + 5) (2 x - 5)

Solution steps

4 x^{3} - 8 x^{2} - 25 x + 50

= (4 x^{3} - 8 x^{2}) + (- 25 x + 50)

Factor out

4 x^{2}

from

4 x^{3} - 8 x^{2} : 4 x^{2} (x - 2)

Factor out

- 25

from

- 25 x + 50 : - 25 (x - 2)

= 4 x^{2} (x - 2) - 25 (x - 2)

Factor out common term

x - 2

= (x - 2) (4 x^{2} - 25)

Factor

4 x^{2} - 25 : (2 x + 5) (2 x - 5)

= (x - 2) (2 x + 5) (2 x - 5)

3 x = - 6

2 x^{2} + 4 = 396

\frac{3}{4} \cdot \frac{8}{5} \cdot \frac{4}{9}

- x^{2} + 4 x - 3 = 0

- 3 x > 18

What is factor 4x^3-8x^2-25x+50 ?
The solution to factor 4x^3-8x^2-25x+50 is (x-2)(2x+5)(2x-5)